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Finding the Fourth Proportional to 455,824.80, 683,737.20 and 314,107.20

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Solution

The fourth proportional to 455,824.80, 683,737.20 and 314,107.20 is: 471,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,824.80 : 683,737.20 = 314,107.20 : x
  2. Step 2: Convert to fraction form
    455,824.80/683,737.20 = 314,107.20/x
  3. Step 3: Cross multiply
    455,824.80x = 683,737.20 × 314,107.20
  4. Step 4: Simplify right side
    455,824.80x = 214,766,777,427.84
  5. Step 5: Solve for x
    x = 214,766,777,427.84/455,824.80
  6. Step 6: Final answer
    x = 471,160.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.